Trapped Outside

Design by glyphobet
    (9) 
    • 4.11 out of 5
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photo 1
photo 1
photo 1
photo 1
photo 1
photo 2
photo 2
photo 2
3d Model Viewer
photo 3
photo 3
photo 3
Ordinary view
Ordinary view
Ordinary view
three way intersection with track and ball
three way intersection with track and ball
three way intersection with track and ball
three-way smooth join with track
three-way smooth join with track
three-way smooth join with track
lower half cutaway with ball
lower half cutaway with ball
lower half cutaway with ball
cutaway with ball
cutaway with ball
cutaway with ball
This is a model of Boy's Surface, a one-sided surface with no edges and no pinch points.

In the cutaway images you can see a small ball. It can roll in three directions but is trapped in the space cut out by the single-sided surface.

The ball is visible through a single cut that winds around the surface.

Note: The ball is red for clarity in the screenshots only. The entire model will be the same color when printed.

Other versions:

Without the ball: http://www.shapeways.com/model/237518/trapped_outside__track_.html

Solid, hollow inside: http://www.shapeways.com/model/233704/trapped_outside__solid_with_hole_.html

Solid: http://www.shapeways.com/model/233703/trapped_outside__solid_.html

Remember to give this model five stars if you like it!

© 2009, Matt Chisholm. All rights reserved.
cm: 2.472 w x 3.848 d x 3.6 h
in: 0.973 w x 1.515 d x 1.417 h
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Comments

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glyphobet
glyphobet says:
@erichschlaikjer: I heard back from Shapeways; they can't print moving parts in metal, that's why this can't be printed. Here's a version that has no moving parts: http://www.shapeways.com/model/233704/trapped_outside__solid_with_hole_.html
Reply
April 6, 2011, 4:27 pm
erichschlaikjer
erichschlaikjer says:
Well, first I ordered it in basic plastic, but since that was way below the minimum spend I splashed out on Gold Plated Glossy, which at the time was quoted at $70.45. I thought it might go nicely with my glass klein bottle xmas ornaments.
Reply
April 1, 2011, 8:02 pm
glyphobet
glyphobet says:
@erichschlaikjer: Not sure what went wrong with your order. I've emailed Shapeways tech support to try to figure it out for you. Do you remember what specific metal material you ordered?
Reply
April 1, 2011, 6:16 pm
erichschlaikjer
erichschlaikjer says:
My order was canceled because they can't print the ball. Perhaps this was because I tried to print it in metal, but they didn't say.
Reply
April 1, 2011, 1:04 pm
glyphobet
glyphobet says:
Sounds like you received the old version. Could you post a picture of the model you got?
Reply
August 30, 2010, 7:54 am
clsn
clsn says:
Just a week ago or so, the end of July. Weird.
Reply
August 5, 2010, 2:23 pm
glyphobet
glyphobet says:
Interesting, I updated it to the version with the slit in February 2010. When did you order your model?
Reply
August 5, 2010, 2:38 am
clsn
clsn says:
Mine didn't have a slit along the surface, as described... but I think I like it better that way! Can still see the ball at the ends of its "tunnel"
Reply
August 4, 2010, 8:50 pm
glyphobet
glyphobet says:
Read more about the mathematics of Boy's Surface here: http://en.wikipedia.org/wiki/Boy%27s_surface Construct a paper model here: http://www.math.uic.edu/~fields/topology/Boys_surface.html See some nifty videos here: http://www.geom.uiuc.edu/zoo/toptype/pplane/boy/
Reply
July 19, 2009, 9:56 pm
 
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Keywords
Art Sculptures Mathematical Art bottle Boy's Surface cross cap cross-cap geometry ICFF11 Klein Klein Bottle math mathematics Möbius Möbius band Möbius strip Moebius Moebius band Moebius strip non-orientable nonorientable one-sided plane projective projective plane surface topology